Heep, who batted and threw left-handed, played for five different ballclubs during his 13-year career: the Houston Astros (1979–1982), New York Mets (1983–1986), Los Angeles Dodgers (1987–1988), Boston Red Sox (1989–1990), and Atlanta Braves (1991).

Heep played for two different World Series champions: the New York Mets in 1986, and the Los Angeles Dodgers in 1988.

At St. Mary's he earned his bachelor's degree in physical education, and he is a member of that school's Athletic Hall of Fame.

[3] After hitting .237 with four home runs and 22 RBI in 85 games with the Astros in 1982, he was acquired by the New York Mets for Mike Scott at the Winter Meetings on December 10.

Heep was the head coach for the NCAA Incarnate Word Cardinals baseball team in San Antonio from 1998-2017.